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Finding the Fourth Proportional to 22,896, 31,598.06 and 12,825.24

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Solution

The fourth proportional to 22,896, 31,598.06 and 12,825.24 is: 17,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 31,598.06 = 12,825.24 : x
  2. Step 2: Convert to fraction form
    22,896/31,598.06 = 12,825.24/x
  3. Step 3: Cross multiply
    22,896x = 31,598.06 × 12,825.24
  4. Step 4: Simplify right side
    22,896x = 405,252,703.03
  5. Step 5: Solve for x
    x = 405,252,703.03/22,896
  6. Step 6: Final answer
    x = 17,699.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.